Manuals/calci/GAMMALN

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GAMMALN(x)


  • is the number

Description

  • This function gives the natural logarithm of the absolute value of the Gamma Function.
  • The functions Digamma and Trigamma are the first and second derivatives of the logarithm of the Gamma Function.
  • This is often called the Polygamma function.
  • Gamma, Lgamma, Digamma and Trigamma functions are internal generic primitive functions.
  • Normally the number , where is an integer, is same as .
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle GAMMALN=LN(\GAMMA(x))} ,

where

Failed to parse (unknown function "\GAMMA"): {\displaystyle \GAMMA(x) = \int\limits_{0}^{\infty} t^{x-1} e^{-t} dt}

it is for all complex numbers except the negative integers and zero.

  • This function will give the result as error when
 is non-numeric and .

Examples

  1. GAMMALN(6) = 4.787491744416229
  2. GAMMALN(42) = 114.03421178146174
  3. GAMMALN(1) = 0.00018319639111644828(calci)
  4. GAMMALN(-10) = NAN, because

See Also

References

Gamma Distribution*